Simplify (5r)^2

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Multiple Choice

Simplify (5r)^2

Explanation:
When you raise a product to a power, you square each factor. So (5r)^2 = 5^2 · r^2. Since 5^2 is 25, you get 25r^2. This shows why the coefficient becomes 25 and the variable part is squared. Squaring only the r part would give 5r^2, and squaring the 5 part incorrectly could lead to 125r^2, which isn’t what the square does.

When you raise a product to a power, you square each factor. So (5r)^2 = 5^2 · r^2. Since 5^2 is 25, you get 25r^2. This shows why the coefficient becomes 25 and the variable part is squared. Squaring only the r part would give 5r^2, and squaring the 5 part incorrectly could lead to 125r^2, which isn’t what the square does.

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